Notably, even in cases when the norm clearly corresponds to measures of functional smoothness, such as the cases of RKHS or, closely related random feature maps, the analyses of interpolation for noisy data are subtle and have only recently started to appear, e.g., [1]}, [2]}.
For a far more detailed overview of the progress on interpolation in linear regression and kernel methods see the parallel Acta Numerica paper [3]}.
